Finding the Third Proportional to 27,729 and 42,665

Step by Step Solution

1. Step 1: Write the proportion equation
   27,729 : 42,665 = 42,665 : x
2. Step 2: Convert to fraction form
   27,729/42,665 = 42,665/x
3. Step 3: Cross multiply
   27,729x = 42,665 × 42,665
4. Step 4: Simplify right side
   27,729x = 1,820,302,225
5. Step 5: Solve for x
   x = 1,820,302,225/27,729
6. Step 6: Final answer
   x = 65,646.15